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Finding the Fourth Proportional to 414.59, 619.27 and 311.33

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Solution

The fourth proportional to 414.59, 619.27 and 311.33 is: 465.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.59 : 619.27 = 311.33 : x
  2. Step 2: Convert to fraction form
    414.59/619.27 = 311.33/x
  3. Step 3: Cross multiply
    414.59x = 619.27 × 311.33
  4. Step 4: Simplify right side
    414.59x = 192,797.33
  5. Step 5: Solve for x
    x = 192,797.33/414.59
  6. Step 6: Final answer
    x = 465.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.